Complete Glauber calculations of reaction and interaction cross sections in light ion collisions

We calculate the differences between reaction and interaction cross sections in the collisions of relativistic light ions with $\text{A}<40$ in the framework of Glauber theory. Although, in the optical approximation of Glauber theory these differences are approximately 1% of the reaction cross sections or less, they increase up to 3-4% when all scattering diagrams of Glauber theory are included in calculation.